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Optimal mixing enhancement

Froyland, Gary and Santitissadeekorn, Naratip (2017) Optimal mixing enhancement SIAM Journal on Applied Mathematics, 77 (4). pp. 1444-1470.


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We introduce a general-purpose method for optimising the mixing rate of advective fluid flows. An existing velocity field is perturbed in a C 1 neighborhood to maximize the mixing rate for flows generated by velocity fields in this neighborhood. Our numerical approach is based on the infinitesimal generator of the flow and is solved by standard linear programming methods. The perturbed flow may be easily constrained to preserve the same steady state distribution as the original flow, and various natural geometric constraints can also be simply applied. The same technique can also be used to optimize the mixing rate of advection-diffusion flow models by manipulating the drift term in a small neighborhood.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Froyland, Gary
Date : 24 August 2017
DOI : 10.1137/16M1091496
Copyright Disclaimer : Copyright 2017 Society for Industrial and Applied Mathematics
Depositing User : Melanie Hughes
Date Deposited : 21 Jun 2017 15:40
Last Modified : 16 Jan 2019 18:53

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